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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 548 · 40 questions
TalentJR

The method (Alligation cross): Alligation: cheaper : dearer = (dearer price − mix price) : (mix price − cheaper price). Mix price = total cost ÷ total quantity. Adding water: the milk stays the same — use it to find the new water. Percent in a mix = amount of that thing ÷ total × 100.

NameDateTime takenScore ___ / 40
  1. 1.Rice at ₹56 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  2. 2.Rice at ₹57 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  3. 3.A grocer mixes 8 kg of tea at ₹53 per kg with 5 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 36-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  5. 5.A jug has 40 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.Rice at ₹23 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  7. 7.Rice at ₹60 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  8. 8.Rice at ₹55 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  9. 9.Rice at ₹64 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  10. 10.Rice at ₹37 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  11. 11.Rice at ₹66 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  12. 12.Rice at ₹50 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  13. 13.Rice at ₹47 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  14. 14.A grocer mixes 3 kg of tea at ₹47 per kg with 3 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 10 kg of tea at ₹85 per kg with 5 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  17. 17.A jug has 40 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.Rice at ₹58 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  19. 19.Rice at ₹34 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  20. 20.A jug has 20 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.A 42-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  23. 23.A grocer mixes 10 kg of tea at ₹88 per kg with 4 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹29 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  25. 25.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A 21-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  27. 27.Rice at ₹47 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  28. 28.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.Rice at ₹27 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  30. 30.A 65-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  31. 31.A 12-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  32. 32.Rice at ₹77 per kg is mixed with rice at ₹141 per kg to make a mix worth ₹117 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  33. 33.Rice at ₹65 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  34. 34.Rice at ₹31 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  35. 35.A 44-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  36. 36.Rice at ₹29 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  37. 37.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.A 30-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  39. 39.A grocer mixes 12 kg of tea at ₹103 per kg with 2 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 5 kg of tea at ₹90 per kg with 5 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 5
  2. 2
  3. 48
  4. 9
  5. 20
  6. 6
  7. 20
  8. 4
  9. 8
  10. 15
  11. 16
  12. 12
  13. 9
  14. 80
  15. 93
  16. 12
  17. 40
  18. 8
  19. 6
  20. 70
  21. 76
  22. 18
  23. 96
  24. 20
  25. 50
  26. 21
  27. 20
  28. 75
  29. 42
  30. 15
  31. 4
  32. 15
  33. 18
  34. 7
  35. 4
  36. 18
  37. 25
  38. 20
  39. 100
  40. 63

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